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Simplifying 2(1 + -2a) = 7(a + -6) (1 * 2 + -2a * 2) = 7(a + -6) (2 + -4a) = 7(a + -6) Reorder the terms: 2 + -4a = 7(-6 + a) 2 + -4a = (-6 * 7 + a * 7) 2 + -4a = (-42 + 7a) Solving 2 + -4a = -42 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 2 + -4a + -7a = -42 + 7a + -7a Combine like terms: -4a + -7a = -11a 2 + -11a = -42 + 7a + -7a Combine like terms: 7a + -7a = 0 2 + -11a = -42 + 0 2 + -11a = -42 Add '-2' to each side of the equation. 2 + -2 + -11a = -42 + -2 Combine like terms: 2 + -2 = 0 0 + -11a = -42 + -2 -11a = -42 + -2 Combine like terms: -42 + -2 = -44 -11a = -44 Divide each side by '-11'. a = 4 Simplifying a = 4
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